We are discussing one of the most unlikely hypotheses in the history of mathematics—Proclus’ hypothesis, which overturns a traditional view on Euclid’s Elements and the history of mathematics, starting since Euclid...We are discussing one of the most unlikely hypotheses in the history of mathematics—Proclus’ hypothesis, which overturns a traditional view on Euclid’s Elements and the history of mathematics, starting since Euclid. According to Proclus, the main goal of Euclid, when writing the Elements, was to build a complete geometric theory of Platonic solids (Book XIII), associated in the ancient philosophy (Pythagoras, Plato) with the Universe harmony. To construct this theory, Euclid introduced in Book II the problem of dividing a segment into extreme and mean ratio (the “golden section”). It follows from Proclus’ hypothesis that Euclid’s Elements are the first attempt to create the “Mathematical Theory of the Universe Harmony”, based on Platonic solids and the “golden section”.展开更多
澳门大学图书馆新近入藏一册1491年出版的欧几里得《几何原本》拉丁文第二版,意大利维琴察市Leonardus de Basilea and Gulielmusde Papia出版,全书共15卷,136叶(即272页,不含空白页)。欧几里得所编纂原书仅13卷,最后两卷为后人增写。...澳门大学图书馆新近入藏一册1491年出版的欧几里得《几何原本》拉丁文第二版,意大利维琴察市Leonardus de Basilea and Gulielmusde Papia出版,全书共15卷,136叶(即272页,不含空白页)。欧几里得所编纂原书仅13卷,最后两卷为后人增写。《几何原本》被称作是“最古老的数学教科书”,是数学史上通过公理建立逻辑演绎体系的第一部著作,流传广泛,对后世影响深远。《几何原本》中译本分两次在明万历年间、清咸丰年间译成。首次中译是意大利传教士利玛窦与徐光启于1606—1607年间合译了前面6卷,第二次是英国伦敦会传教士伟烈亚力(Alexander Wylie)与李善兰于1857年合译出版后9卷。澳门大学新入藏的1491年拉丁文版《几何原本》是澳门地区所藏首份西文古籍摇篮本,文章将对澳门大学藏本的相关版本源流及特色进行探析。展开更多
文摘We are discussing one of the most unlikely hypotheses in the history of mathematics—Proclus’ hypothesis, which overturns a traditional view on Euclid’s Elements and the history of mathematics, starting since Euclid. According to Proclus, the main goal of Euclid, when writing the Elements, was to build a complete geometric theory of Platonic solids (Book XIII), associated in the ancient philosophy (Pythagoras, Plato) with the Universe harmony. To construct this theory, Euclid introduced in Book II the problem of dividing a segment into extreme and mean ratio (the “golden section”). It follows from Proclus’ hypothesis that Euclid’s Elements are the first attempt to create the “Mathematical Theory of the Universe Harmony”, based on Platonic solids and the “golden section”.
文摘澳门大学图书馆新近入藏一册1491年出版的欧几里得《几何原本》拉丁文第二版,意大利维琴察市Leonardus de Basilea and Gulielmusde Papia出版,全书共15卷,136叶(即272页,不含空白页)。欧几里得所编纂原书仅13卷,最后两卷为后人增写。《几何原本》被称作是“最古老的数学教科书”,是数学史上通过公理建立逻辑演绎体系的第一部著作,流传广泛,对后世影响深远。《几何原本》中译本分两次在明万历年间、清咸丰年间译成。首次中译是意大利传教士利玛窦与徐光启于1606—1607年间合译了前面6卷,第二次是英国伦敦会传教士伟烈亚力(Alexander Wylie)与李善兰于1857年合译出版后9卷。澳门大学新入藏的1491年拉丁文版《几何原本》是澳门地区所藏首份西文古籍摇篮本,文章将对澳门大学藏本的相关版本源流及特色进行探析。
